Hessians in Birkhoff-Theoretic Trajectory Optimization
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911271586103296 |
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| author | Ross, I. M. |
| author_facet | Ross, I. M. |
| contents | This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the eigenvalues are contained in the narrow interval [-2, 4] for all Birkhoff-discretized optimal control problems. A preliminary analysis of computational complexity is also presented with further discussions on the grand challenge of solving a million point trajectory optimization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13963 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hessians in Birkhoff-Theoretic Trajectory Optimization Ross, I. M. Optimization and Control Mathematical Software Numerical Analysis Robotics 93 G.1.6; G.4; I.2.9 This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the eigenvalues are contained in the narrow interval [-2, 4] for all Birkhoff-discretized optimal control problems. A preliminary analysis of computational complexity is also presented with further discussions on the grand challenge of solving a million point trajectory optimization problem. |
| title | Hessians in Birkhoff-Theoretic Trajectory Optimization |
| topic | Optimization and Control Mathematical Software Numerical Analysis Robotics 93 G.1.6; G.4; I.2.9 |
| url | https://arxiv.org/abs/2511.13963 |